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Finding the Fourth Proportional to 210.84, 317.50 and 184.11

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Solution

The fourth proportional to 210.84, 317.50 and 184.11 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 317.50 = 184.11 : x
  2. Step 2: Convert to fraction form
    210.84/317.50 = 184.11/x
  3. Step 3: Cross multiply
    210.84x = 317.50 × 184.11
  4. Step 4: Simplify right side
    210.84x = 58,454.93
  5. Step 5: Solve for x
    x = 58,454.93/210.84
  6. Step 6: Final answer
    x = 277.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.